Solve 156.185-0.073*4.059+6.842*5.372-0.199*0.073^2-0.642+0.761*0.073*5.372

$$156.185-0.073 \times 4.059+6.842 \times 5.372-0.199 \times { 0.073 }^{ 2 } -0.642+0.761 \times 0.073 \times 5.372$$

Evaluate

$$192.299287245$$

Solution Steps

Multiply 0.073 and 4.059 to get 0.296307.

$$156.185-0.296307+6.842\times 5.372-0.199\times 0.073^{2}-0.642+0.761\times 0.073\times 5.372$$

Subtract 0.296307 from 156.185 to get 155.888693.

$$155.888693+6.842\times 5.372-0.199\times 0.073^{2}-0.642+0.761\times 0.073\times 5.372$$

Multiply 6.842 and 5.372 to get 36.755224.

$$155.888693+36.755224-0.199\times 0.073^{2}-0.642+0.761\times 0.073\times 5.372$$

Add 155.888693 and 36.755224 to get 192.643917.

$$192.643917-0.199\times 0.073^{2}-0.642+0.761\times 0.073\times 5.372$$

Calculate 0.073 to the power of 2 and get 0.005329.

$$192.643917-0.199\times 0.005329-0.642+0.761\times 0.073\times 5.372$$

Multiply 0.199 and 0.005329 to get 0.001060471.

$$192.643917-0.001060471-0.642+0.761\times 0.073\times 5.372$$

Subtract 0.001060471 from 192.643917 to get 192.642856529.

$$192.642856529-0.642+0.761\times 0.073\times 5.372$$

Subtract 0.642 from 192.642856529 to get 192.000856529.

$$192.000856529+0.761\times 0.073\times 5.372$$

Multiply 0.761 and 0.073 to get 0.055553.

$$192.000856529+0.055553\times 5.372$$

Multiply 0.055553 and 5.372 to get 0.298430716.

$$192.000856529+0.298430716$$

Add 192.000856529 and 0.298430716 to get 192.299287245.

$$192.299287245$$

Factor

$$\frac{3 \cdot 29 \cdot 2615783 \cdot 13 ^ {2}}{2 ^ {9} \cdot 5 ^ {8}} = 192\frac{59857449}{200000000} = 192.299287245$$